No, but you could easily write a function to record this info.
I bottleneck all my mysql stuff:
I created a function:
function mysqlquery($text){return mysql_query($text);}
did a global search and replace of mysql_query to mysqlquery
Now all queries run through the bottleneck. Easy now to do:
function mysqlquery($text){
global $querycount;
$querycount++;
return mysql_query($text);
}
etc.